On Fri, Jan 4, 2019 at 3:15 PM Brent Meeker <[email protected]> wrote:

> > *You said t was the proper time for me to take the trip. *
>

Yes.


> > *But the proper time is what a clock measures *
>

Yes,


> > *and so it depends on the path you took in making the trip.  *
>

Yes. And that is exactly why proper time is *NOT* an invariant, but the 4D
length through spacetime is.

>> I said "proper time is *NOT* an invariant"!
>
>
> * > You apparently use "invariant" in a strange way. *
>

I only know how to use the word one way, a invariant is something that
doesn't change with a change in coordinates.

*>Proper time is an invariant length of a path in 4-space. *
>

 No No a thousand times NO!! Proper time is not the length of ANYTHING in
4-space and proper time is NOT a invariant, Newton thought it was but
Einstein showed it was not.


> > *Invariant means that all different observers agree on it. *
>

And I and my astronaut twin do not agree on the proper time, if we did we'd
still be the same age when he returned to Earth and we're not.


> > *It doesn't mean the length of a path is independent of the path.*
>

It does mean the 4D length between events is independent of the path.


> >>No observer agrees on that because no observer knows what the hell
>> meters minus seconds means. But you did agree above that proper time is the
>> time measured by a clock along any line through spacetime, so for my twin
>> that was on a rocket at near light speed and then returned the proper time
>> is one year, but for me who stayed on Earth the proper time was 10 years.
>> Therefore proper time can not be a invariant, therefore the length of the
>> path through spacetime can NOT be the proper time because the length of
>> the path through spacetime IS an invariant.
>
>

*> The length of which path? *
>

The length of any 4D spacetime path between Event A and Event B that you
care to name. The distance between events is always the same regardless of
the particular path chosen, the distance traveled in the X,Y and Z
directions could all be different, and t could be different too, but when
anybody calculates X^2+y^2 + Z^2 - (ct)^2  they always get the exact same
number because the spacetime distance is an invariant.


> > *Every observer can read the clock as it moves along the path and they
> will all agree on the length of the path. *
>

They all agree on the length of the 4D path through spacetime to get from
Event A to Event B but if they took different paths they will disagree on
the distance traveled through space and the time it took to make it aka the
proper time.


> >> They don't agree on the spacial interval or the time interval, but
> they agree on the proper time the clock measures along the path.  THAT's
> what "invariant" means.
>
> > *You are using the word "observer" as though it referred to a traveler,
> but in relativity it usually means someone measuring a physical process
> from a different state of motion. *
>

If I'm measuring a clock that is in a different state of motion, that is to
say a clock that is not in my reference frame, then what I am measuring is
NOT my proper time.

> >>Proper Time is defined as the amount of change an observer has seen a
>> clock make that is in the same reference frame as the observer.
>>>
>>>
>
> * > NO.  The definition doesn't require the observer to be moving with the
> clock.  *
>

At this point you're not even trying, if I say X=Y all you can say is "no,
X is not y".

An argument is not just contradiction
<https://www.youtube.com/watch?v=uLlv_aZjHXc>

John K Clark

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